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Simplifying 3(2x + -1) + (2x + -7) = 3(x + 1) + -1(-3x + -1) + 3x + 2 Reorder the terms: 3(-1 + 2x) + (2x + -7) = 3(x + 1) + -1(-3x + -1) + 3x + 2 (-1 * 3 + 2x * 3) + (2x + -7) = 3(x + 1) + -1(-3x + -1) + 3x + 2 (-3 + 6x) + (2x + -7) = 3(x + 1) + -1(-3x + -1) + 3x + 2 Reorder the terms: -3 + 6x + (-7 + 2x) = 3(x + 1) + -1(-3x + -1) + 3x + 2 Remove parenthesis around (-7 + 2x) -3 + 6x + -7 + 2x = 3(x + 1) + -1(-3x + -1) + 3x + 2 Reorder the terms: -3 + -7 + 6x + 2x = 3(x + 1) + -1(-3x + -1) + 3x + 2 Combine like terms: -3 + -7 = -10 -10 + 6x + 2x = 3(x + 1) + -1(-3x + -1) + 3x + 2 Combine like terms: 6x + 2x = 8x -10 + 8x = 3(x + 1) + -1(-3x + -1) + 3x + 2 Reorder the terms: -10 + 8x = 3(1 + x) + -1(-3x + -1) + 3x + 2 -10 + 8x = (1 * 3 + x * 3) + -1(-3x + -1) + 3x + 2 -10 + 8x = (3 + 3x) + -1(-3x + -1) + 3x + 2 Reorder the terms: -10 + 8x = 3 + 3x + -1(-1 + -3x) + 3x + 2 -10 + 8x = 3 + 3x + (-1 * -1 + -3x * -1) + 3x + 2 -10 + 8x = 3 + 3x + (1 + 3x) + 3x + 2 Reorder the terms: -10 + 8x = 3 + 1 + 2 + 3x + 3x + 3x Combine like terms: 3 + 1 = 4 -10 + 8x = 4 + 2 + 3x + 3x + 3x Combine like terms: 4 + 2 = 6 -10 + 8x = 6 + 3x + 3x + 3x Combine like terms: 3x + 3x = 6x -10 + 8x = 6 + 6x + 3x Combine like terms: 6x + 3x = 9x -10 + 8x = 6 + 9x Solving -10 + 8x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 8x + -9x = 6 + 9x + -9x Combine like terms: 8x + -9x = -1x -10 + -1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -1x = 6 + 0 -10 + -1x = 6 Add '10' to each side of the equation. -10 + 10 + -1x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 6 + 10 -1x = 6 + 10 Combine like terms: 6 + 10 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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